Online GCD Calculator is useful to find the GCD of 174, 948, 620, 472 quickly. Get the easiest ways to solve the greatest common divisor of 174, 948, 620, 472 i.e 2 in different methods as follows.
Given Input numbers are 174, 948, 620, 472
In the factoring method, we have to find the divisors of all numbers
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 620 :
The positive integer divisors of 620 that completely divides 620 are.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
GCD of numbers is the greatest common divisor
So, the GCD (174, 948, 620, 472) = 2.
Given numbers are 174, 948, 620, 472
The list of prime factors of all numbers are
Prime factors of 174 are 2 x 3 x 29
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 620 are 2 x 2 x 5 x 31
Prime factors of 472 are 2 x 2 x 2 x 59
The highest common occurrence is 21
Therefore, GCD of 174, 948, 620, 472 is 2.
Given numbers are 174, 948, 620, 472
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(174, 948) = 27492
GCD(174, 948) = ( 174 x 948 ) / 27492
= 174 / 948
= 174
Step2:
LCM(6, 620) = 1860
GCD(6, 620) = ( 6 x 620 ) / 1860
= 6 / 620
= 6
Step3:
LCM(2, 472) = 472
GCD(2, 472) = ( 2 x 472 ) / 472
= 2 / 472
= 2
So, Greatest Common Divisor of 174, 948, 620, 472 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 174, 948, 620, 472
The greatest common divisor of numbers 174, 948, 620, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 948, 620, 472 is 2.
1. What is the GCD of 174, 948, 620, 472?
GCD of given numbers 174, 948, 620, 472 is 2
2. How to calculate the greatest common divisor of 174, 948, 620, 472?
We can find the highest common divisor of 174, 948, 620, 472 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 174, 948, 620, 472 i.e 2.
3. How can I use the GCD of 174, 948, 620, 472Calculator?
Out the numbers 174, 948, 620, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.